A uniform generalization of some combinatorial Hopf algebras

Jia Huang

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arXiv · 1506.02962

A uniform generalization of some combinatorial Hopf algebras

Jia Huang

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Abstract

We generalize the Hopf algebras of free quasisymmetric functions, quasisymmetric functions, noncommutative symmetric functions, and symmetric functions to certain representations of the category of all finite Coxeter systems and its dual category. We investigate their connections with the representation theory of 0-Hecke algebras of finite Coxeter systems. Restricted to type B and D we obtain dual graded modules and comodules over the corresponding Hopf algebras in type A.

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BibTeX RIS

Jia Huang. 2015-12-05. A uniform generalization of some combinatorial Hopf algebras. https://arxiv.org/abs/1506.02962

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